Question

A field is in the form of a rectangle of length 18 m and width 15 m. A pit, 7.5 m long, 6 m broad and 0.8 m deep, is dug in a corner of the field and the earth taken out is spread over the remaining area of the field. Find out the extent to which the level of the field has been raised.

Answer 1

The extent to which the level has been raised is 16cm.

Length of the field = 18m (Given)

Volume of the earth taken out from the pit = 7.5 x 6 x 0.8  (Given)

Let the level of the field be risen by = h meters

Area of the field where earth taken out is to be spread

= 18 x 15 - 7.5 x 6 = 225 m2

Now,

Area of the field = Volume of earth taken out from the pit

= 225 × h = 7.5 x 6 x 0.8

= 36/225

= 0.16

Thus, 0.16m = 16cm

Thus, the field has been raised to 16cm.